{"id":"https://openalex.org/W2052067628","doi":"https://doi.org/10.1080/00207720902974546","title":"Control quality enhancement using fractional PI<sup>\u03bb</sup>D<sup>\u03bc</sup>controller","display_name":"Control quality enhancement using fractional PI<sup>\u03bb</sup>D<sup>\u03bc</sup>controller","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2052067628","doi":"https://doi.org/10.1080/00207720902974546","mag":"2052067628"},"language":"en","primary_location":{"id":"doi:10.1080/00207720902974546","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902974546","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020909358","display_name":"K. Bettou","orcid":null},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Khalfa Bettou","raw_affiliation_strings":["D\u00e9partement d\u2019Electronique, Universit\u00e9 Mentouri de Constantine, Route Ain El-bey, Constantine 25000, Algeria","Departement d'Electronique, Universite Mentouri de Constantine, Constantine 25000, Algeria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019Electronique, Universit\u00e9 Mentouri de Constantine, Route Ain El-bey, Constantine 25000, Algeria","institution_ids":["https://openalex.org/I125485651"]},{"raw_affiliation_string":"Departement d'Electronique, Universite Mentouri de Constantine, Constantine 25000, Algeria#TAB#","institution_ids":["https://openalex.org/I125485651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084014354","display_name":"Abdelfatah Charef","orcid":"https://orcid.org/0000-0002-4429-5192"},"institutions":[{"id":"https://openalex.org/I125485651","display_name":"University Fr\u00e8res Mentouri Constantine 1","ror":"https://ror.org/017wv6808","country_code":"DZ","type":"education","lineage":["https://openalex.org/I125485651"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdelfatah Charef","raw_affiliation_strings":["D\u00e9partement d\u2019Electronique, Universit\u00e9 Mentouri de Constantine, Route Ain El-bey, Constantine 25000, Algeria","Departement d'Electronique, Universite Mentouri de Constantine, Constantine 25000, Algeria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019Electronique, Universit\u00e9 Mentouri de Constantine, Route Ain El-bey, Constantine 25000, Algeria","institution_ids":["https://openalex.org/I125485651"]},{"raw_affiliation_string":"Departement d'Electronique, Universite Mentouri de Constantine, Constantine 25000, Algeria#TAB#","institution_ids":["https://openalex.org/I125485651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020909358"],"corresponding_institution_ids":["https://openalex.org/I125485651"],"apc_list":null,"apc_paid":null,"fwci":4.0799,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.93769866,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"40","issue":"8","first_page":"875","last_page":"888"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.9383090734481812},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.74336838722229},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6910440921783447},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6510089039802551},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.5090331435203552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5064526796340942},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46725034713745117},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.45055249333381653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3110783100128174},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.2851507067680359},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2827143967151642},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2300390601158142},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18977931141853333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15928956866264343},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.09920409321784973},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08095699548721313}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.9383090734481812},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.74336838722229},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6910440921783447},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6510089039802551},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.5090331435203552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5064526796340942},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46725034713745117},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.45055249333381653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3110783100128174},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2851507067680359},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2827143967151642},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2300390601158142},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18977931141853333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15928956866264343},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.09920409321784973},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08095699548721313},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720902974546","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902974546","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W55790716","https://openalex.org/W806633968","https://openalex.org/W1480944004","https://openalex.org/W1535264379","https://openalex.org/W1553338987","https://openalex.org/W1969313263","https://openalex.org/W2025184211","https://openalex.org/W2033177809","https://openalex.org/W2126535736","https://openalex.org/W2155572235","https://openalex.org/W2167648262","https://openalex.org/W2183809567","https://openalex.org/W2187796817","https://openalex.org/W2283952362","https://openalex.org/W2299012056","https://openalex.org/W2980070341","https://openalex.org/W3109383941","https://openalex.org/W4206934364","https://openalex.org/W4246432872","https://openalex.org/W6697206165"],"related_works":["https://openalex.org/W2030762054","https://openalex.org/W3157618815","https://openalex.org/W2401345448","https://openalex.org/W255820224","https://openalex.org/W3110660489","https://openalex.org/W2002388147","https://openalex.org/W2278807000","https://openalex.org/W2964228179","https://openalex.org/W2252718650","https://openalex.org/W2628590989"],"abstract_inverted_index":{"The":[0,93],"proportional\u2013integral\u2013derivative":[1],"(PID)":[2],"controllers":[3],"have":[4,66],"remained,":[5],"by":[6,146],"far,":[7],"the":[8,28,38,45,70,104,108,115,118,131,134,140,148,153,160,175,189],"most":[9],"commonly":[10],"and":[11,56,72,138,159,168],"practically":[12],"used":[13],"in":[14,69,103],"all":[15],"industrial":[16],"feedback":[17],"control":[18,30,176],"applications;":[19],"therefore,":[20],"there":[21],"is":[22,91],"a":[23,42,82],"continuous":[24],"effort":[25],"to":[26,173,188],"improve":[27],"system":[29],"quality":[31,177],"performances.":[32],"More":[33],"recently":[34],"Podlubny":[35],"has":[36],"proposed":[37,181],"fractional":[39,88,119,154,161,182],"PI\u03bbD\u03bc":[40,89,120,183],"controller,":[41,48,137],"generalisation":[43],"of":[44,53,59,74,77,86,96,117,133,179],"classical":[46,109,135],"PID":[47,136,190],"involving":[49],"an":[50],"integration":[51,155],"action":[52,58,156,163],"order":[54,60,157,164],"\u03bb":[55,123,158],"differentiation":[57,162],"\u03bc.":[61,165],"Since":[62],"then,":[63],"many":[64],"researchers":[65],"been":[67],"interested":[68],"use":[71],"tuning":[73,99,111,195],"this":[75,80,87,97,180],"type":[76],"controller.":[78],"In":[79],"article,":[81],"new":[83,98],"conception":[84,185,192],"method":[85,100,112,150,186],"controller":[90,121,184,191],"considered.":[92],"basic":[94],"ideas":[95],"are":[101,171],"based,":[102],"first":[105],"place,":[106],"on":[107,139],"Ziegler\u2013Nichols":[110,194],"for":[113,122,151],"setting":[114,130,152],"parameters":[116,132],"=":[124,126],"\u03bc":[125],"1,":[127],"which":[128],"means":[129],"minimum":[141],"integral":[142],"squared":[143],"error":[144],"criterion":[145],"using":[147,193],"Hall\u2013Sartorius":[149],"Illustrative":[166],"examples":[167],"simulation":[169],"results":[170],"presented":[172],"show":[174],"enhancement":[178],"compared":[187],"method.":[196]},"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}